Atkin-Lehner |
11- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
88451c |
Isogeny class |
Conductor |
88451 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1097280 |
Modular degree for the optimal curve |
Δ |
-21419919863877667 = -1 · 119 · 173 · 432 |
Discriminant |
Eigenvalues |
2 -2 2 -3 11- 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-129752,19275339] |
[a1,a2,a3,a4,a6] |
Generators |
[122:33271:8] |
Generators of the group modulo torsion |
j |
-136368207106048/12090986347 |
j-invariant |
L |
9.2012205139687 |
L(r)(E,1)/r! |
Ω |
0.37416485906391 |
Real period |
R |
3.0739192549024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8041b1 |
Quadratic twists by: -11 |